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Finding the Fourth Proportional to 903.64, 1,247.54 and 593.68

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Solution

The fourth proportional to 903.64, 1,247.54 and 593.68 is: 819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.64 : 1,247.54 = 593.68 : x
  2. Step 2: Convert to fraction form
    903.64/1,247.54 = 593.68/x
  3. Step 3: Cross multiply
    903.64x = 1,247.54 × 593.68
  4. Step 4: Simplify right side
    903.64x = 740,639.55
  5. Step 5: Solve for x
    x = 740,639.55/903.64
  6. Step 6: Final answer
    x = 819.62

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.